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Finding the Fourth Proportional to 9,803.99, 14,707.81 and 3,964.70

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Solution

The fourth proportional to 9,803.99, 14,707.81 and 3,964.70 is: 5,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.99 : 14,707.81 = 3,964.70 : x
  2. Step 2: Convert to fraction form
    9,803.99/14,707.81 = 3,964.70/x
  3. Step 3: Cross multiply
    9,803.99x = 14,707.81 × 3,964.70
  4. Step 4: Simplify right side
    9,803.99x = 58,312,096.03
  5. Step 5: Solve for x
    x = 58,312,096.03/9,803.99
  6. Step 6: Final answer
    x = 5,947.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.